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  • An examination consists of eight multiple-choice questions. How many answer sequences are possible if the first four questions have four choices each and the next four have five?<div

An examination consists of eight multiple-choice questions. How many answer sequences are possible if the first four questions have four choices each and the next four have five?

Option: 1

120000 

 


Option: 2

130000


Option: 3

160000

 


Option: 4

140000


Answers (1)

best_answer

Given that,

There are 8 multiple-choice questions in an examination.

The first four questions have four choices. Each question was answered in four ways.

The next four questions have five choices. Each question was answered in five ways.

Thus, the number of answer sequences possible is

4\times 4\times 4\times 4\times 5\times 5\times 5\times 5=256\times625

Therefore, the number of possible ways for the answer sequence is 1,60,000 ways.

 

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Rishabh

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